Details

Time bar (total: 25.4s)

sample127.0ms

Algorithm
intervals
Results
64.0ms959×body80nan
15.0ms295×body80valid

simplify3.4s

Counts
1 → 1
Iterations
IterNodes
done5000
73827
61760
5891
4462
3190
272
127
013

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
0.2b
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
0.3b
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
0.3b
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

rewrite166.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
26×*-un-lft-identity times-frac
24×associate-*l* add-cube-cbrt
13×add-cbrt-cube add-exp-log
11×pow1
8×associate-*r/ sqrt-prod
6×flip3-- sqrt-div associate-*r* flip--
4×frac-times associate-/r* associate-/r/ add-log-exp
3×flip3-+ pow-prod-down associate-*l/ prod-exp cbrt-unprod flip-+ associate-/l* unswap-sqr
2×cbrt-undiv sqrt-pow1 div-exp *-commutative div-inv difference-of-squares
1×distribute-rgt-in clear-num frac-2neg distribute-lft-in pow1/2 distribute-lft-out--
Counts
4 → 114
Calls
4 calls:
64.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
76.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
13.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
9.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series726.0ms

Counts
4 → 12
Calls
4 calls:
148.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
282.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
203.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
92.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify2.3s

Counts
126 → 126
Iterations
IterNodes
done5000
24501
1857
0303

prune666.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
0.3b
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
0.3b
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
8.5b
(* (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand) (- a (/ 1.0 3.0)))

rewrite303.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
26×times-frac
25×*-un-lft-identity
23×add-cube-cbrt
20×add-cbrt-cube add-exp-log
19×associate-*l*
14×pow1
9×associate-*r*
8×associate-*r/ sqrt-prod
7×prod-exp cbrt-unprod
6×sqrt-div
5×flip3-- pow-prod-down associate-*l/ flip--
4×associate-/r* associate-/r/ add-log-exp
3×cbrt-undiv div-exp associate-/l*
2×distribute-rgt-in frac-times sub-neg distribute-lft-in sqrt-pow1 *-commutative div-inv difference-of-squares unswap-sqr
1×clear-num frac-2neg pow1/2 distribute-lft-out--
Counts
4 → 115
Calls
4 calls:
82.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
21.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
15.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
178.0ms
(* (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand) (- a (/ 1.0 3.0)))

series746.0ms

Counts
4 → 12
Calls
4 calls:
278.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
206.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
78.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
185.0ms
(* (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand) (- a (/ 1.0 3.0)))

simplify2.2s

Counts
127 → 127
Iterations
IterNodes
done5000
24295
1814
0298

prune880.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize78.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand) (- (/ 1.0 3.0)))
0.3b
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
0.3b
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
8.5b
(* (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand) a)

rewrite410.0ms

Algorithm
rewrite-expression-head
Rules
33×associate-*r*
22×add-cbrt-cube add-exp-log
20×add-sqr-sqrt pow1 *-un-lft-identity add-cube-cbrt
18×times-frac
13×distribute-lft-neg-in distribute-rgt-neg-in
10×prod-exp cbrt-unprod
8×pow-prod-down
5×associate-*l/ associate-*r/
4×sqrt-pow1 sqrt-div add-log-exp
2×cbrt-undiv flip3-- pow1/2 div-exp associate-*l* *-commutative sqrt-prod div-inv flip-- distribute-neg-frac
1×frac-times neg-mul-1 distribute-rgt-neg-out
Counts
4 → 98
Calls
4 calls:
178.0ms
(* (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand) (- (/ 1.0 3.0)))
9.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
9.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
210.0ms
(* (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand) a)

series669.0ms

Counts
4 → 12
Calls
4 calls:
220.0ms
(* (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand) (- (/ 1.0 3.0)))
94.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
80.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
275.0ms
(* (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand) a)

simplify2.3s

Counts
110 → 110
Iterations
IterNodes
done5000
24687
1820
0274

prune857.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 9.0 (- a (/ 1.0 3.0)))
0.2b
(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
0.3b
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
8.5b
(* (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))

rewrite215.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×add-cbrt-cube add-exp-log
15×*-un-lft-identity
13×associate-*l*
12×associate-*r*
11×pow1 add-cube-cbrt
10×times-frac associate-*r/
6×flip3-- sqrt-div prod-exp cbrt-unprod flip--
4×distribute-rgt-in cbrt-undiv associate-/r* sub-neg distribute-lft-in div-exp associate-/r/ sqrt-prod add-log-exp difference-of-squares
3×pow-prod-down
2×frac-times sqrt-pow1 *-commutative div-inv distribute-lft-out-- unswap-sqr
1×clear-num frac-2neg pow1/2 associate-*l/ associate-/l*
Counts
4 → 106
Calls
4 calls:
47.0ms
(* 9.0 (- a (/ 1.0 3.0)))
34.0ms
(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
16.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
115.0ms
(* (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))

series690.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(* 9.0 (- a (/ 1.0 3.0)))
288.0ms
(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
80.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
263.0ms
(* (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))

simplify2.4s

Counts
118 → 118
Iterations
IterNodes
done5000
24064
1761
0263

prune656.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes197.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done19
119
014

end0.0ms

sample5.2s

Algorithm
intervals
Results
3.1s26968×body80nan
838.0ms9189×body80valid